document.write( "Question 539767: fine the height of a right circular cylinder whose height is equal to its base radius and its volume is 72(3.14)cm3? \n" ); document.write( "

Algebra.Com's Answer #353549 by KMST(5328) $\"\"$ $\"About$

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The volume in cubic centimeters is $\"72%2Api\"$ ?
\n" ); document.write( "The volume of a cylinder is equal to the are of its base times the height.
\n" ); document.write( "The area of a circle of radius r is $\"A=pi%2Ar%5E2\"$ (Remember Apple pies are square, even if you think they're usually round).
\n" ); document.write( "Since the height of this cylinder is also r,
\n" ); document.write( " $\"Volume+=+%28pi%2Ar%5E2%29r=pi%2Ar%5E3\"$
\n" ); document.write( "If $\"Volume+=+72%2Api=pi%2Ar%5E3\"$ then
\n" ); document.write( " $\"r%5E3=72\"$ and $\"r=root%283%2C72%29=root%283%2C8%2A9%29=root%283%2C8%29%2Aroot%283%2C9%29=2%2Aroot%283%2C9%29\"$
\n" ); document.write( "My calculator says that's about 4.16 cm. \n" ); document.write( "

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